There's a cat in our apartment complex that my husband and I refer to as "Slutty Cat" because she's so friendly, she'll let ANYONE with fingernails touch her. On the belly. Little slut.
Anyway, we had seen her around for years but within the last 6 months or so, it seemed like she was hanging out at our front/back door an awful lot, crying like she was hungry. So Scott fed her a few times, and she started coming by more regularly.
One day I noticed my two (boy) cats were sitting in the front window staring at something, so I peeked down and saw Slutty Cat laying there in the bushes cleaning her stomach. I swear it looked like something out of Looney Tunes... if she only had a full face of makeup I'd have said she looked like the girl skunk that Pepe Le Pew always chased after.

She's like, "HI boys... you like what you see?"
Anyway, months go by and Scott and I are starting to think we've acquired a new cat, because she spent SO much time with us. And then one day Scott calls me at work and tells me we've been instructed to NEVER feed Slutty Cat again. Apparently her owner used to live on the bottom floor of the building near us, but has since moved upstairs to the 3rd floor, and Slutty Cat keeps coming downstairs and getting lost, and since we've been providing a food source, her owner actually thought she was gone a few times.

I felt terrible, but what were we going to do? We live in a very transitional area, for all we knew she'd been abandoned by some college kids going home for the summer.
Anyway, the moral of the story is that even Slutty Cats can pretend like they don't have a home in order to get free food.
Good job on taking Lulu in for treatmnt though... that definitely warms my heart. I only hope if one of my boys got lost outside or God forbid, injured, someone would take care of him.